Atkin-Lehner |
2+ 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550bi |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-8458732800 = -1 · 28 · 36 · 52 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12222,523156] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-86:1] [-52:1034:1] |
Generators of the group modulo torsion |
j |
-11079062208265/464128 |
j-invariant |
L |
8.2914708190483 |
L(r)(E,1)/r! |
Ω |
1.2276612914109 |
Real period |
R |
0.84423436600473 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003456 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12950k1 116550fy1 |
Quadratic twists by: -3 5 |